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High-energy limit of 2->2 scattering amplitudes at NNLL / Milloy, Calum (Turin U. ; INFN, Turin) ; Falcioni, Giulio (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (Edinburgh U. ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Vernazza, Leonardo (Turin U. ; INFN, Turin ; CERN)
The high-energy limit of $2\to 2$ scattering amplitudes offers an excellent setting to explore the universal features of gauge theories. At Leading Logarithmic (LL) accuracy the partonic amplitude is governed by Regge poles in the complex angular momentum plane. [...]
arXiv:2207.07441.- 2022-10-20 - 11 p. - Published in : PoS LL2022 (2022) 044 Fulltext: 2207.07441 - PDF; Publication - PDF;
In : 16th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory 2022, Ettal, Germany, 25 - 30 Apr 2022, pp.044

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Disentangling the Regge cut and Regge pole in perturbative QCD / Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; Turin U. ; CERN)
The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. [...]
arXiv:2112.11098; CERN-TH-2021-225.- 2022-03-30 - 7 p. - Published in : Phys. Rev. Lett. 128 (2022) 132001 Fulltext: PhysRevLett.128.132001 - PDF; 2112.11098 - PDF;

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Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops / Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; Turin U. ; CERN)
Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for both infrared-singular and finite contributions to the amplitude. [...]
arXiv:2111.10664; CERN-TH-2021-200.- 2022-03-08 - 134 p. - Published in : JHEP 2203 (2022) 053 Fulltext: 2111.10664 - PDF; document - PDF;

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Two-parton scattering in the high-energy limit: climbing two- and three-Reggeon ladders / Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (Turin U. ; INFN, Turin) ; Vernazza, Leonardo (Turin U. ; INFN, Turin ; CERN)
We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution equations. [...]
arXiv:2111.05166.- 2022-06-20 - 22 p. - Published in : SciPost Phys. Proc. 7 (2022) 007 Fulltext: document - PDF; 2111.05166 - PDF;
In : 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology AND LoopFest XIX: Workshop on Radiative Corrections for the LHC and Future Colliders (Radcor and LoopFest 2021), Tallahassee, FL, United States, 16 - 21 May 2021

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The Soft Anomalous Dimension at four loops in the Regge Limit / Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; CERN ; Turin U.)
The soft anomalous dimension governs the infrared divergences of scattering amplitudes in general kinematics to all orders in perturbation theory. By comparing the recent Regge-limit results for $2\to2$ scattering (through Next-to-Next-to-Leading Logarithms) in full colour to a general form for the soft anomalous dimension at four loops we derive powerful constraints on its kinematic dependence, opening the way for a bootstrap-based determination..
arXiv:2111.01517.- 2022-06-20 - 14 p.
- Published in : SciPost Phys. Proc.: 7 (2022) , pp. 013 Fulltext: document - PDF; 2111.01517 - PDF;
In : 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology AND LoopFest XIX: Workshop on Radiative Corrections for the LHC and Future Colliders (Radcor and LoopFest 2021), Tallahassee, FL, United States, 16 - 21 May 2021, pp.013

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